Australia’s Abbott Faces Tests After Surviving Leadership Challenge

Prime Minister Tony Abbott Must Now Convince Voters of His Authority

CANBERRA, Australia—Prime Minister Tony Abbott survived a move by party rebels to unseat him, but now faces a challenge to convince voters that he retains enough authority to bring in reforms and represent the country on the world stage.

The leadership challenge divided Liberal party ranks, with more than a third of the ruling conservatives wanting Mr. Abbott to be replaced. That leaves him vulnerable to future moves against him, analysts said. He also faces a resurgent Labor opposition, an obstructive upper house of...